According to one aspect, provided are systems and methods for generating unrestricted games (e.g. promotional games) that preserve predetermination and/or do not introduce chance elements into the games while at the same time reduce the overhead associated with generating and maintaining entries (i.e. tickets) into the games. As part of systems and methods for creating ticketed entries, values can be assigned to any of one or more of players, game machines, or games. These values can used as unique identifiers. Additionally, information already associated with any one or more of the players, game machines, or games can also be used to generate these values. The values can have static components and can be combined with dynamic components, that can be used individually, separately, or in combination. In one example a predetermined numeric value is used, stored as part of a record. In another, static information can be used to generate the numeric value, or a component of the value. Once the value, in some examples a seed, is obtained the value is used with a deterministic function to provide deterministically an output. The output permits retrieval of an outcome from for example a prize matrix of predetermined game outcomes. According to another aspect, the systems and methods provided permit deterministic ticket generation without having to generate and/or maintain the entries for any game.